DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 3, Problem 3.28P
To determine
To find: linkage Figure 3-26 to design Watt-I six bar parallel motion
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You have available a set of eight links from which you are to design a four-bar linkage. Choose
the links such that the linkage can be driven by a continuous-rotation motor. Sketch the linkage
and identify the type of four-bar mechanism resulting.
L1= 2", L2=3", L3 = 4”, L4 = 6", L5=7", L6= 9.5", L7 = 13", and L8 = 9"
Figure below shows a four-bar linkage (non-scaled diagram) at an instant. The input
angle is equal to the output angle (02 - 04) and the transmission angle is 30°. The
input link is extended beyond joint B and an input force (Fin) is applied at the end of
it, while an output force is drawn from the midpoint of the output link. If an output
force of 30 N is desired from an input force of 10 N, how far the input link should be
extended, i.e., what is the distance from point B to the point where Fin is applied.
Fin
B
out
undefined
02
04
A.
Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mm
If the link lengths of a four-bar linkage are L1 = 1 mm, L2 = 3 mm, L3 = 4 mm,and L4 = 5 mm and link 1 is fixed, what type of four-bar linkage is it? Also, is the linkage a Grashof type 1 or 2 linkage? Answer the same questions if L1 = 2 mm.
Chapter 3 Solutions
DESIGN OF MACHINERY
Ch. 3 - Define the following examples as path, motion, or...Ch. 3 - Design a fourbar Grashof crank-rocker for 90 of...Ch. 3 - Prob. 3.3PCh. 3 - Design a fourbar mechanism to give the two...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Repeat Problem 3-2 with a quick-return time ratio...Ch. 3 - Design a sixbar drag link quick-return linkage for...Ch. 3 - Design a crank-shaper quick-return mechanism for a...Ch. 3 - Find the two cognates of the linkage in Figure...
Ch. 3 - Find the three equivalent geared fivebar linkages...Ch. 3 - Design a sixbar single-dwell linkage for a dwell...Ch. 3 - Design a sixbar double-dwell linkage for a dwell...Ch. 3 - Figure P3-3 shows a treadle-operated grinding...Ch. 3 - Figure P3-4 shows a non-Grashof fourbar linkage...Ch. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Design a pin-jointed linkage that will guide the...Ch. 3 - Figure P3-6 shows a V-link off-loading mechanism...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Figure P3-8 shows a fourbar linkage used in a...Ch. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Design a Hoeken straight-line linkage to give...Ch. 3 - Design a Hoeken straight-line linkage to give...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Find the Grashof condition, inversion, any limit...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Draw the Roberts diagram and find the cognates of...Ch. 3 - Prob. 3.41PCh. 3 - Find the Grashof condition, any limit positions,...Ch. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Design a fourbar Grashof crank-rocker for 120 of...Ch. 3 - Prob. 3.68PCh. 3 - Design a fourbar Grashof crank-rocker for 80 of...Ch. 3 - Design a sixbar drag link quick-return linkage for...Ch. 3 - Design a crank shaper quick-return mechanism for a...Ch. 3 - Design a sixbar, single-dwell linkage for a dwell...Ch. 3 - Design a sixbar, single-dwell linkage for a dwell...Ch. 3 - Prob. 3.74PCh. 3 - Using the method of Example 3-11, show that the...Ch. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - The first set of 10 coupler curves on page 1 of...Ch. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - The side view of the upper section of a...Ch. 3 - Design a fourbar mechanism to give the three...Ch. 3 - Design a fourbar mechanism to give the three...Ch. 3 - Design a fourbar Grashof crank-rocker for 60...Ch. 3 - Design a crank-shaper quick-return mechanism for a...Ch. 3 - Figure P3-22 shows a non-Grashof fourbar linkage...Ch. 3 - Prob. 3.94PCh. 3 - Design a fourbar Grashof crank-rocker for 80...Ch. 3 - Design a sixbar drag link quick-return linkage for...
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- In the below figure a Double-parallelogram mechanism is shown. Here PQ is a single link. Calculate the mobility of the mechanism?arrow_forward1. Find a combination of link lengths where motion of a point on output link is one quarter of a circle. 2. Find the value of all 0, 0, 0, and y in open and close configuration Read the value of link lengths and the input angle 8., then use the formulae given below to calculate the value of unknowns 03, 0, and y K₁ = = K₂= d K2 K3 = a²-b²+c²+d² 2ac A = cos 0₂ - K₁ - K₂ cos 0₂ + K3 B = -2 sin 0₂ C = K₁ (K₂ + 1) cos 02 + K3 -B± √B²-4AC 2A 0412 = 2tan-1 d K₁ = — K5 = c²d²a²-6² 2ab D = cos 0₂ - K₁ - K4 cos 0₂ + K5 E = -2 sin 0₂ FK₁+ (K₁ - 1) cos 02 +K5 0312 2 tan-1 (-E± -E± √E²4DF 2D Y = 04-03arrow_forwardProblem 4-15h Find the input angles (02) corresponding to the toggle positions of a non-Grashof double- rocker linkage with link lengths (a, b, c, d) of 10, 10, 10, 20, respectively.arrow_forward
- Sketch the kinematic diagram and calculate the mobility of all the linkages (Degrees of Freedom). Are there any assumptions if any.arrow_forwardProblem 4-6a The link lengths (a, b, c, d) and the value of 2 for a crank-rocker linkage are defined as 2, 7, 9, 6, 30°, respectively. Draw the scaled linkage. Find all possible solutions (both open and crossed) for angles 03 and 04 graphically. Орen B A LNCS 4 a GCS र 4 4" Crossed (This is not the scaled kinematic diagram.) Problem 4-7a Repeat Problem 4-6a except solve by the vector loop method.arrow_forwardGiven a slider-crank linkage with link lengths of L = 35.0 mm, L = 48.0 mm, L = 185 mm, 6) = 270, and O =0. Also, Lat= 150 mm, Lp = 72.0 mm, and o = 50.6 counter clockwise. For the current position of 8 = 135 , the angle e and the length La are -21.9 and 137.7 mm as shown in Figure Q3. !! Determine the location of coupler point, P, relative to the origin at bearing A. 2/4 440-270 Figure Q3arrow_forward
- MANUFACTURING COMPONENT DESI Calculate and classify mechanism for the four-bar linkage (Figure 2) with setting #1 to #5 either in theGrashof, non-Grasshof or special Grashof condition. Name the type of mechanism either in crack-rocker,double-crank or double-rocker.arrow_forwardDraw the kinematic diagram of the following mechanism by labelling the links and the joints and calculate its mobility / DOF.arrow_forwardThe number of degrees of freedom of the linkage shown in the figure.arrow_forward
- OA 0.90 ● AB 3.25 BC 2.75 BD 5.50 CG Length [m] 0.55 OE 1.85 CE H 2.20 2.581 3.15 В Angle 4. 60.99 Angle r = 159,81° Distance OC 2.88m - W ОА [deg] [rad/s] 160.0 3.0 m BD Mass [kg] 3000 Present a clearly labelled free body diagram for each rod and the slider; Calculate the magnitudes and directions of all reaction forces at the instant shown using accelerations obtained in acceleration analysis part; Calculate the instantaneous torque, T, required to drive the mechanism at the instant shown. J BD Mass moment of inertia [kg.m²] 2200arrow_forwardThe sixbar mechanism shown in figure below is analyzed as two non-offset slider-crank linkages with link 2 (02A) serving as common input for both linkages; the first linkage is formed by links 2, 5 and slider 6 and the second linkage is formed by links 2, 3 and slider 4. At the position shown the angle e is = 30°. The links lengths are : link 2 = 30 cm, link 3 = 100 cm and link 5 = 80 cm. We need to find the positions of sliders 4 and 6 and angles of couplers 3 and 5. AY 4 3 2 A 5 B 6 X 02arrow_forward1. Determine binary, ternary link and quaternary link for the given kinematic chain as shown in figure below and also find the number of degrees of freedom by using Kutzbach criteria. 2.Explain with neat line diagram how Scotch yoke mechanism is used in control valve actuators in high-pressure oil and gas pipelines, as well as in various internal combustion engines, such as the Bourke engine.arrow_forward
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